1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NARA [144]
3 years ago
12

At a constant rate of flow, it takes 20 minutes to fill a swimming pool if a large hose is used and 30 minutes if a small hose i

s used. At these constant rates, how many minutes will it take to fill the pool when both hoses are used simultaneously?
Mathematics
1 answer:
Paha777 [63]3 years ago
3 0

Answer: 12 minutes

Step-by-step explanation:

This is a standard Work Formula question (2 or more 'entities' that work on a task together). When there are just 2 entities and there are no 'twists' to the question, we can use the Work Formula to get to the correct answer.

Work = (A)(B)/(A+B) where A and B are the individual times needed to complete the task.

We're told that two hoses take 20 minutes and 30 minutes, respectively, to fill a pool. We're asked how long it takes the two hoses, working together, to fill the pool.

(20)(30)/(20+30) = 600/50 = 12 minutes to fill the pool.

You might be interested in
Can someone explain how to do this
jolli1 [7]

Answer:

20%

Step-by-step explanation:

im not really good at percentages but from what i know you first make it a fraction by adding all the numbers together to get 55(denominator). then for the numerator you take the section that they want(11). 11/55 is equal to 20/100(divide 100 by 55 and multiply the quotient by 11 to get 20). 20/100 is 20%. hope this kinda helps.

7 0
3 years ago
Factorise each of the following<br> a2+9a+8
Tanzania [10]

Answer:

Step-by-step explanation:

I suppose the expression is this a^2+9a+8.

We can factor out this expression ( Remember, find two numbers that the sum is 9 and the product is 8. The numbers are 8 and 1)

a^2+9a+8=(a+1)(a+8)

8 0
3 years ago
Read 2 more answers
K- 3/10 = 2/5 <br> What does k equal
Vesna [10]

Answer:

k = 7/10

or as a decimal is 0.7

3 0
3 years ago
Which point gives the vertex of ƒ(x) = –x2 + 4x – 3?
Dmitriy789 [7]

Answer:

The vertex is (2,1)

Step-by-step explanation:

ƒ(x) = –x^2 + 4x – 3

Factor out the negative

   = -(x^2 -4x+3)

 Factor

What 2 numbers multiply to +3 and add to -4

-3*-1 = 3

-3+-1 = -4

f(x) =  -( x-3)(x-1)

Find the zeros

0 = -( x-3)(x-1)

0 = x-3   0 = x-1

x=3            x=1

The x value of the vertex is 1/2 way between the two zeros

(3+1)/2 = 4/2 =2

To find the y value, substitute x=2 in

f(2) =  -( 2-3)(2-1)

       =-(-1)(1) = 1

The vertex is (2,1)

4 0
3 years ago
How do you simplify (1-x-x^2-x^3)(1-x^4)?
Vlad1618 [11]

Answer:

x^7+x^6+x^5-x^4-x^3-x^2-x+1

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Two farmers each have triangular plots of land in the diagram below with approximate values shown for lengths in feet
    6·1 answer
  • Help with polynomials
    14·2 answers
  • Please Help!! 35 Points!!!
    7·1 answer
  • One pound of chicken cost $3.00. Jim buys 8 2/3 pounds of chicken. How much does Jim pay for the chicken?
    8·1 answer
  • Work out the surface area of the solid cuboid<br> L=5cm<br> W=2cm<br> H=5.3cm
    15·1 answer
  • Find the geometric mean of 50 and 4
    15·2 answers
  • Leo has 1 1/3 cups of sugar. He uses 34 cups of sugar in a recipe. How much sugar does Leo have left?
    9·1 answer
  • Consider the linear inequality. 9−3≤12
    5·1 answer
  • PLZ HELP ME!! IF YOUR A GENUIS
    14·1 answer
  • I can find the perimeter and area of the rectangle
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!